2 research outputs found
Spatial random multiple access with multiple departure
We introduce a new model of spatial random multiple access systems with a
non-standard departure policy: all arriving messages are distributed uniformly
on a finite sphere in the space, and when a successful transmission of a single
message occurs, the transmitted message leaves the system together with all its
neighbours within a ball of a given radius centred at the message's location.
We consider three classes of protocols: centralised protocols and decentralised
protocols with either ternary or binary feedback; and analyse their stability.
Further, we discuss some asymptotic properties of stable protocols
Stability of a Random Multiple Access Channel with "Success-Failure" Feedback
We consider a model of a decentralized multiple access system with a
non-standard binary feedback where the empty and collision situations cannot be
distinguished. We show that, like in the case of a ternary feedback, for any
input rate \lambda < 1/e, there exists a "doubly randomized" adaptive
transmission protocol which stabilizes the behavior of the system. We discuss
also a number of related problems and formulate some hypotheses.Comment: 11 pages, ! figur